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Finding the Fourth Proportional to 12,860.16, 17,702.08 and 11,201.28

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Solution

The fourth proportional to 12,860.16, 17,702.08 and 11,201.28 is: 15,418.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,860.16 : 17,702.08 = 11,201.28 : x
  2. Step 2: Convert to fraction form
    12,860.16/17,702.08 = 11,201.28/x
  3. Step 3: Cross multiply
    12,860.16x = 17,702.08 × 11,201.28
  4. Step 4: Simplify right side
    12,860.16x = 198,285,954.66
  5. Step 5: Solve for x
    x = 198,285,954.66/12,860.16
  6. Step 6: Final answer
    x = 15,418.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.